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Finding the Fourth Proportional to 549.40, 822.86 and 274.90

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Solution

The fourth proportional to 549.40, 822.86 and 274.90 is: 411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 822.86 = 274.90 : x
  2. Step 2: Convert to fraction form
    549.40/822.86 = 274.90/x
  3. Step 3: Cross multiply
    549.40x = 822.86 × 274.90
  4. Step 4: Simplify right side
    549.40x = 226,204.21
  5. Step 5: Solve for x
    x = 226,204.21/549.40
  6. Step 6: Final answer
    x = 411.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.